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<div class="title">polynomial.hpp</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="comment">/*</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="comment">Copyright (c) 2006, Michael Kazhdan and Matthew Bolitho</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;<span class="comment">All rights reserved.</span></div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="comment">Redistribution and use in source and binary forms, with or without modification,</span></div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="comment">are permitted provided that the following conditions are met:</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">Redistributions of source code must retain the above copyright notice, this list of</span></div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment">conditions and the following disclaimer. Redistributions in binary form must reproduce</span></div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment">the above copyright notice, this list of conditions and the following disclaimer</span></div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">in the documentation and/or other materials provided with the distribution. </span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">Neither the name of the Johns Hopkins University nor the names of its contributors</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment">may be used to endorse or promote products derived from this software without specific</span></div>
<div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment">prior written permission. </span></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment">THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS &quot;AS IS&quot; AND ANY</span></div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment">EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO THE IMPLIED WARRANTIES </span></div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment">OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT</span></div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment">SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,</span></div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment">INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment">BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN</span></div>
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<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment">DAMAGE.</span></div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment">*/</span></div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160; </div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="preprocessor">#include &lt;float.h&gt;</span></div>
<div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="preprocessor">#include &lt;math.h&gt;</span></div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;<span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;<span class="preprocessor">#include &quot;factor.h&quot;</span></div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160; </div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;<span class="comment">// Polynomial //</span></div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;<span class="keyword">namespace </span>pcl</div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;{</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;  <span class="keyword">namespace </span>poisson</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;  {</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160; </div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160; </div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    Polynomial&lt;Degree&gt;::Polynomial(<span class="keywordtype">void</span>){memset(coefficients,0,<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)*(Degree+1));}</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    Polynomial&lt;Degree&gt;::Polynomial(<span class="keyword">const</span> Polynomial&lt;Degree2&gt;&amp; P){</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;      memset(coefficients,0,<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)*(Degree+1));</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree &amp;&amp; i&lt;=Degree2;i++){coefficients[i]=P.coefficients[i];}</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160; </div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160; </div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator  = (<span class="keyword">const</span> Polynomial&lt;Degree2&gt; &amp;p){</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      <span class="keywordtype">int</span> d=Degree&lt;Degree2?Degree:Degree2;</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;      memset(coefficients,0,<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)*(Degree+1));</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      memcpy(coefficients,p.coefficients,<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)*(d+1));</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    }</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160; </div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    Polynomial&lt;Degree-1&gt; Polynomial&lt;Degree&gt;::derivative(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;      Polynomial&lt;Degree-1&gt; p;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;Degree;i++){p.coefficients[i]=coefficients[i+1]*(i+1);}</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;      <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;    }</div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160; </div>
<div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;    Polynomial&lt;Degree+1&gt; Polynomial&lt;Degree&gt;::integral(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;      Polynomial&lt;Degree+1&gt; p;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;      p.coefficients[0]=0;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){p.coefficients[i+1]=coefficients[i]/(i+1);}</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;      <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    }</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;    <span class="keyword">template</span>&lt;&gt; <span class="keywordtype">double</span> Polynomial&lt; 0 &gt;::operator() ( <span class="keywordtype">double</span> t )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> coefficients[0]; }</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;    <span class="keyword">template</span>&lt;&gt; <span class="keywordtype">double</span> Polynomial&lt; 1 &gt;::operator() ( <span class="keywordtype">double</span> t )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> coefficients[0]+coefficients[1]*t; }</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;    <span class="keyword">template</span>&lt;&gt; <span class="keywordtype">double</span> Polynomial&lt; 2 &gt;::operator() ( <span class="keywordtype">double</span> t )<span class="keyword"> const </span>{ <span class="keywordflow">return</span> coefficients[0]+(coefficients[1]+coefficients[2]*t)*t; }</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;    <span class="keywordtype">double</span> Polynomial&lt;Degree&gt;::operator() ( <span class="keywordtype">double</span> t )<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;      <span class="keywordtype">double</span> v=coefficients[Degree];</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> d=Degree-1 ; d&gt;=0 ; d-- ) v = v*t + coefficients[d];</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;    }</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;    <span class="keywordtype">double</span> Polynomial&lt;Degree&gt;::integral( <span class="keywordtype">double</span> tMin , <span class="keywordtype">double</span> tMax )<span class="keyword"> const</span></div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;      <span class="keywordtype">double</span> v=0;</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;      <span class="keywordtype">double</span> t1,t2;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;      t1=tMin;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;      t2=tMax;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){</div>
<div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;        v+=coefficients[i]*(t2-t1)/(i+1);</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;        <span class="keywordflow">if</span>(t1!=-DBL_MAX &amp;&amp; t1!=DBL_MAX){t1*=tMin;}</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;        <span class="keywordflow">if</span>(t2!=-DBL_MAX &amp;&amp; t2!=DBL_MAX){t2*=tMax;}</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;      }</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;      <span class="keywordflow">return</span> v;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    }</div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;    <span class="keywordtype">int</span> Polynomial&lt;Degree&gt;::operator == (<span class="keyword">const</span> Polynomial&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){<span class="keywordflow">if</span>(coefficients[i]!=p.coefficients[i]){<span class="keywordflow">return</span> 0;}}</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;      <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    }</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="keywordtype">int</span> Polynomial&lt;Degree&gt;::operator != (<span class="keyword">const</span> Polynomial&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){<span class="keywordflow">if</span>(coefficients[i]==p.coefficients[i]){<span class="keywordflow">return</span> 0;}}</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;      <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;    }</div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordtype">int</span> Polynomial&lt;Degree&gt;::isZero(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){<span class="keywordflow">if</span>(coefficients[i]!=0){<span class="keywordflow">return</span> 0;}}</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;      <span class="keywordflow">return</span> 1;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;    }</div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::setZero(<span class="keywordtype">void</span>){memset(coefficients,0,<span class="keyword">sizeof</span>(<span class="keywordtype">double</span>)*(Degree+1));}</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160; </div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::addScaled(<span class="keyword">const</span> Polynomial&amp; p,<span class="keywordtype">double</span> s){</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){coefficients[i]+=p.coefficients[i]*s;}</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;    }</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator += (<span class="keyword">const</span> Polynomial&lt;Degree&gt;&amp; p){</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){coefficients[i]+=p.coefficients[i];}</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;    }</div>
<div class="line"><a name="l00128"></a><span class="lineno">  128</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator -= (<span class="keyword">const</span> Polynomial&lt;Degree&gt;&amp; p){</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){coefficients[i]-=p.coefficients[i];}</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;    }</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator + (<span class="keyword">const</span> Polynomial&lt;Degree&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;      Polynomial q;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=(coefficients[i]+p.coefficients[i]);}</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;    }</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator - (<span class="keyword">const</span> Polynomial&lt;Degree&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;      Polynomial q;</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++)    {q.coefficients[i]=coefficients[i]-p.coefficients[i];}</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;    }</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::Scale(<span class="keyword">const</span> Polynomial&amp; p,<span class="keywordtype">double</span> w,Polynomial&amp; q){</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=p.coefficients[i]*w;}</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;    }</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::AddScaled(<span class="keyword">const</span> Polynomial&amp; p1,<span class="keywordtype">double</span> w1,<span class="keyword">const</span> Polynomial&amp; p2,<span class="keywordtype">double</span> w2,Polynomial&amp; q){</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=p1.coefficients[i]*w1+p2.coefficients[i]*w2;}</div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;    }</div>
<div class="line"><a name="l00153"></a><span class="lineno">  153</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::AddScaled(<span class="keyword">const</span> Polynomial&amp; p1,<span class="keywordtype">double</span> w1,<span class="keyword">const</span> Polynomial&amp; p2,Polynomial&amp; q){</div>
<div class="line"><a name="l00155"></a><span class="lineno">  155</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=p1.coefficients[i]*w1+p2.coefficients[i];}</div>
<div class="line"><a name="l00156"></a><span class="lineno">  156</span>&#160;    }</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00158"></a><span class="lineno">  158</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::AddScaled(<span class="keyword">const</span> Polynomial&amp; p1,<span class="keyword">const</span> Polynomial&amp; p2,<span class="keywordtype">double</span> w2,Polynomial&amp; q){</div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=p1.coefficients[i]+p2.coefficients[i]*w2;}</div>
<div class="line"><a name="l00160"></a><span class="lineno">  160</span>&#160;    }</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160; </div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::Subtract(<span class="keyword">const</span> Polynomial &amp;p1,<span class="keyword">const</span> Polynomial&amp; p2,Polynomial&amp; q){</div>
<div class="line"><a name="l00164"></a><span class="lineno">  164</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=p1.coefficients[i]-p2.coefficients[i];}</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;    }</div>
<div class="line"><a name="l00166"></a><span class="lineno">  166</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00167"></a><span class="lineno">  167</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::Negate(<span class="keyword">const</span> Polynomial&amp; in,Polynomial&amp; out){</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;      out=in;</div>
<div class="line"><a name="l00169"></a><span class="lineno">  169</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){out.coefficients[i]=-out.coefficients[i];}</div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;    }</div>
<div class="line"><a name="l00171"></a><span class="lineno">  171</span>&#160; </div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator - (<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;      Polynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=-q.coefficients[i];}</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00177"></a><span class="lineno">  177</span>&#160;    }</div>
<div class="line"><a name="l00178"></a><span class="lineno">  178</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00179"></a><span class="lineno">  179</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree2&gt;</div>
<div class="line"><a name="l00180"></a><span class="lineno">  180</span>&#160;    Polynomial&lt;Degree+Degree2&gt; Polynomial&lt;Degree&gt;::operator * (<span class="keyword">const</span> Polynomial&lt;Degree2&gt;&amp; p)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00181"></a><span class="lineno">  181</span>&#160;      Polynomial&lt;Degree+Degree2&gt; q;</div>
<div class="line"><a name="l00182"></a><span class="lineno">  182</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){<span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0;j&lt;=Degree2;j++){q.coefficients[i+j]+=coefficients[i]*p.coefficients[j];}}</div>
<div class="line"><a name="l00183"></a><span class="lineno">  183</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00184"></a><span class="lineno">  184</span>&#160;    }</div>
<div class="line"><a name="l00185"></a><span class="lineno">  185</span>&#160; </div>
<div class="line"><a name="l00186"></a><span class="lineno">  186</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00187"></a><span class="lineno">  187</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator += ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00188"></a><span class="lineno">  188</span>&#160;    {</div>
<div class="line"><a name="l00189"></a><span class="lineno">  189</span>&#160;      coefficients[0]+=s;</div>
<div class="line"><a name="l00190"></a><span class="lineno">  190</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00191"></a><span class="lineno">  191</span>&#160;    }</div>
<div class="line"><a name="l00192"></a><span class="lineno">  192</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00193"></a><span class="lineno">  193</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator -= ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00194"></a><span class="lineno">  194</span>&#160;    {</div>
<div class="line"><a name="l00195"></a><span class="lineno">  195</span>&#160;      coefficients[0]-=s;</div>
<div class="line"><a name="l00196"></a><span class="lineno">  196</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00197"></a><span class="lineno">  197</span>&#160;    }</div>
<div class="line"><a name="l00198"></a><span class="lineno">  198</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00199"></a><span class="lineno">  199</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator *= ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00200"></a><span class="lineno">  200</span>&#160;    {</div>
<div class="line"><a name="l00201"></a><span class="lineno">  201</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){coefficients[i]*=s;}</div>
<div class="line"><a name="l00202"></a><span class="lineno">  202</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00203"></a><span class="lineno">  203</span>&#160;    }</div>
<div class="line"><a name="l00204"></a><span class="lineno">  204</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00205"></a><span class="lineno">  205</span>&#160;    Polynomial&lt;Degree&gt;&amp; Polynomial&lt;Degree&gt;::operator /= ( <span class="keywordtype">double</span> s )</div>
<div class="line"><a name="l00206"></a><span class="lineno">  206</span>&#160;    {</div>
<div class="line"><a name="l00207"></a><span class="lineno">  207</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){coefficients[i]/=s;}</div>
<div class="line"><a name="l00208"></a><span class="lineno">  208</span>&#160;      <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a name="l00209"></a><span class="lineno">  209</span>&#160;    }</div>
<div class="line"><a name="l00210"></a><span class="lineno">  210</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00211"></a><span class="lineno">  211</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator + ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00212"></a><span class="lineno">  212</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00213"></a><span class="lineno">  213</span>&#160;      Polynomial&lt;Degree&gt; q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00214"></a><span class="lineno">  214</span>&#160;      q.coefficients[0]+=s;</div>
<div class="line"><a name="l00215"></a><span class="lineno">  215</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00216"></a><span class="lineno">  216</span>&#160;    }</div>
<div class="line"><a name="l00217"></a><span class="lineno">  217</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00218"></a><span class="lineno">  218</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator - ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00219"></a><span class="lineno">  219</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00220"></a><span class="lineno">  220</span>&#160;      Polynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00221"></a><span class="lineno">  221</span>&#160;      q.coefficients[0]-=s;</div>
<div class="line"><a name="l00222"></a><span class="lineno">  222</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00223"></a><span class="lineno">  223</span>&#160;    }</div>
<div class="line"><a name="l00224"></a><span class="lineno">  224</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00225"></a><span class="lineno">  225</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator * ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00226"></a><span class="lineno">  226</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00227"></a><span class="lineno">  227</span>&#160;      Polynomial q;</div>
<div class="line"><a name="l00228"></a><span class="lineno">  228</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){q.coefficients[i]=coefficients[i]*s;}</div>
<div class="line"><a name="l00229"></a><span class="lineno">  229</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00230"></a><span class="lineno">  230</span>&#160;    }</div>
<div class="line"><a name="l00231"></a><span class="lineno">  231</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00232"></a><span class="lineno">  232</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::operator / ( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00233"></a><span class="lineno">  233</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00234"></a><span class="lineno">  234</span>&#160;      Polynomial q;</div>
<div class="line"><a name="l00235"></a><span class="lineno">  235</span>&#160;      <span class="keywordflow">for</span>( <span class="keywordtype">int</span> i=0 ; i&lt;=Degree ; i++ ) q.coefficients[i] = coefficients[i]/s;</div>
<div class="line"><a name="l00236"></a><span class="lineno">  236</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00237"></a><span class="lineno">  237</span>&#160;    }</div>
<div class="line"><a name="l00238"></a><span class="lineno">  238</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00239"></a><span class="lineno">  239</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::scale( <span class="keywordtype">double</span> s )<span class="keyword"> const</span></div>
<div class="line"><a name="l00240"></a><span class="lineno">  240</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00241"></a><span class="lineno">  241</span>&#160;      Polynomial q=*<span class="keyword">this</span>;</div>
<div class="line"><a name="l00242"></a><span class="lineno">  242</span>&#160;      <span class="keywordtype">double</span> s2=1.0;</div>
<div class="line"><a name="l00243"></a><span class="lineno">  243</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){</div>
<div class="line"><a name="l00244"></a><span class="lineno">  244</span>&#160;        q.coefficients[i]*=s2;</div>
<div class="line"><a name="l00245"></a><span class="lineno">  245</span>&#160;        s2/=s;</div>
<div class="line"><a name="l00246"></a><span class="lineno">  246</span>&#160;      }</div>
<div class="line"><a name="l00247"></a><span class="lineno">  247</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00248"></a><span class="lineno">  248</span>&#160;    }</div>
<div class="line"><a name="l00249"></a><span class="lineno">  249</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00250"></a><span class="lineno">  250</span>&#160;    Polynomial&lt;Degree&gt; Polynomial&lt;Degree&gt;::shift( <span class="keywordtype">double</span> t )<span class="keyword"> const</span></div>
<div class="line"><a name="l00251"></a><span class="lineno">  251</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00252"></a><span class="lineno">  252</span>&#160;      Polynomial&lt;Degree&gt; q;</div>
<div class="line"><a name="l00253"></a><span class="lineno">  253</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;=Degree;i++){</div>
<div class="line"><a name="l00254"></a><span class="lineno">  254</span>&#160;        <span class="keywordtype">double</span> temp=1;</div>
<div class="line"><a name="l00255"></a><span class="lineno">  255</span>&#160;        <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=i;j&gt;=0;j--){</div>
<div class="line"><a name="l00256"></a><span class="lineno">  256</span>&#160;          q.coefficients[j]+=coefficients[i]*temp;</div>
<div class="line"><a name="l00257"></a><span class="lineno">  257</span>&#160;          temp*=-t*j;</div>
<div class="line"><a name="l00258"></a><span class="lineno">  258</span>&#160;          temp/=(i-j+1);</div>
<div class="line"><a name="l00259"></a><span class="lineno">  259</span>&#160;        }</div>
<div class="line"><a name="l00260"></a><span class="lineno">  260</span>&#160;      }</div>
<div class="line"><a name="l00261"></a><span class="lineno">  261</span>&#160;      <span class="keywordflow">return</span> q;</div>
<div class="line"><a name="l00262"></a><span class="lineno">  262</span>&#160;    }</div>
<div class="line"><a name="l00263"></a><span class="lineno">  263</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00264"></a><span class="lineno">  264</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::printnl(<span class="keywordtype">void</span>)<span class="keyword"> const</span>{</div>
<div class="line"><a name="l00265"></a><span class="lineno">  265</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> j=0;j&lt;=Degree;j++){</div>
<div class="line"><a name="l00266"></a><span class="lineno">  266</span>&#160;        printf(<span class="stringliteral">&quot;%6.4f x^%d &quot;</span>,coefficients[j],j);</div>
<div class="line"><a name="l00267"></a><span class="lineno">  267</span>&#160;        <span class="keywordflow">if</span>(j&lt;Degree &amp;&amp; coefficients[j+1]&gt;=0){printf(<span class="stringliteral">&quot;+&quot;</span>);}</div>
<div class="line"><a name="l00268"></a><span class="lineno">  268</span>&#160;      }</div>
<div class="line"><a name="l00269"></a><span class="lineno">  269</span>&#160;      printf(<span class="stringliteral">&quot;\n&quot;</span>);</div>
<div class="line"><a name="l00270"></a><span class="lineno">  270</span>&#160;    }</div>
<div class="line"><a name="l00271"></a><span class="lineno">  271</span>&#160;    <span class="keyword">template</span>&lt;<span class="keywordtype">int</span> Degree&gt;</div>
<div class="line"><a name="l00272"></a><span class="lineno">  272</span>&#160;    <span class="keywordtype">void</span> Polynomial&lt;Degree&gt;::getSolutions(<span class="keywordtype">double</span> c,std::vector&lt;double&gt;&amp; roots,<span class="keywordtype">double</span> EPS)<span class="keyword"> const</span></div>
<div class="line"><a name="l00273"></a><span class="lineno">  273</span>&#160;<span class="keyword">    </span>{</div>
<div class="line"><a name="l00274"></a><span class="lineno">  274</span>&#160;      <span class="keywordtype">double</span> r[4][2];</div>
<div class="line"><a name="l00275"></a><span class="lineno">  275</span>&#160;      <span class="keywordtype">int</span> rCount=0;</div>
<div class="line"><a name="l00276"></a><span class="lineno">  276</span>&#160;      roots.clear();</div>
<div class="line"><a name="l00277"></a><span class="lineno">  277</span>&#160;      <span class="keywordflow">switch</span>(Degree){</div>
<div class="line"><a name="l00278"></a><span class="lineno">  278</span>&#160;      <span class="keywordflow">case</span> 1:</div>
<div class="line"><a name="l00279"></a><span class="lineno">  279</span>&#160;        rCount=Factor(coefficients[1],coefficients[0]-c,r,EPS);</div>
<div class="line"><a name="l00280"></a><span class="lineno">  280</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00281"></a><span class="lineno">  281</span>&#160;      <span class="keywordflow">case</span> 2:</div>
<div class="line"><a name="l00282"></a><span class="lineno">  282</span>&#160;        rCount=Factor(coefficients[2],coefficients[1],coefficients[0]-c,r,EPS);</div>
<div class="line"><a name="l00283"></a><span class="lineno">  283</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00284"></a><span class="lineno">  284</span>&#160;      <span class="keywordflow">case</span> 3:</div>
<div class="line"><a name="l00285"></a><span class="lineno">  285</span>&#160;        rCount=Factor(coefficients[3],coefficients[2],coefficients[1],coefficients[0]-c,r,EPS);</div>
<div class="line"><a name="l00286"></a><span class="lineno">  286</span>&#160;        <span class="keywordflow">break</span>;</div>
<div class="line"><a name="l00287"></a><span class="lineno">  287</span>&#160;        <span class="comment">//  case 4:</span></div>
<div class="line"><a name="l00288"></a><span class="lineno">  288</span>&#160;        <span class="comment">//      rCount=Factor(coefficients[4],coefficients[3],coefficients[2],coefficients[1],coefficients[0]-c,r,EPS);</span></div>
<div class="line"><a name="l00289"></a><span class="lineno">  289</span>&#160;        <span class="comment">//      break;</span></div>
<div class="line"><a name="l00290"></a><span class="lineno">  290</span>&#160;      <span class="keywordflow">default</span>:</div>
<div class="line"><a name="l00291"></a><span class="lineno">  291</span>&#160;        printf(<span class="stringliteral">&quot;Can&#39;t solve polynomial of degree: %d\n&quot;</span>,Degree);</div>
<div class="line"><a name="l00292"></a><span class="lineno">  292</span>&#160;      }</div>
<div class="line"><a name="l00293"></a><span class="lineno">  293</span>&#160;      <span class="keywordflow">for</span>(<span class="keywordtype">int</span> i=0;i&lt;rCount;i++){</div>
<div class="line"><a name="l00294"></a><span class="lineno">  294</span>&#160;        <span class="keywordflow">if</span>(fabs(r[i][1])&lt;=EPS){</div>
<div class="line"><a name="l00295"></a><span class="lineno">  295</span>&#160;          roots.push_back(r[i][0]);</div>
<div class="line"><a name="l00296"></a><span class="lineno">  296</span>&#160;        }</div>
<div class="line"><a name="l00297"></a><span class="lineno">  297</span>&#160;      }</div>
<div class="line"><a name="l00298"></a><span class="lineno">  298</span>&#160;    }</div>
<div class="line"><a name="l00299"></a><span class="lineno">  299</span>&#160;    <span class="keyword">template</span>&lt; &gt;</div>
<div class="line"><a name="l00300"></a><span class="lineno">  300</span>&#160;    Polynomial&lt; 0 &gt; Polynomial&lt; 0 &gt;::BSplineComponent( <span class="keywordtype">int</span> i )</div>
<div class="line"><a name="l00301"></a><span class="lineno">  301</span>&#160;    {</div>
<div class="line"><a name="l00302"></a><span class="lineno">  302</span>&#160;      Polynomial p;</div>
<div class="line"><a name="l00303"></a><span class="lineno">  303</span>&#160;      p.coefficients[0] = 1.;</div>
<div class="line"><a name="l00304"></a><span class="lineno">  304</span>&#160;      <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00305"></a><span class="lineno">  305</span>&#160;    }</div>
<div class="line"><a name="l00306"></a><span class="lineno">  306</span>&#160;    <span class="keyword">template</span>&lt; <span class="keywordtype">int</span> Degree &gt;</div>
<div class="line"><a name="l00307"></a><span class="lineno">  307</span>&#160;    Polynomial&lt; Degree &gt; Polynomial&lt; Degree &gt;::BSplineComponent( <span class="keywordtype">int</span> i )</div>
<div class="line"><a name="l00308"></a><span class="lineno">  308</span>&#160;    {</div>
<div class="line"><a name="l00309"></a><span class="lineno">  309</span>&#160;      Polynomial p;</div>
<div class="line"><a name="l00310"></a><span class="lineno">  310</span>&#160;      <span class="keywordflow">if</span>( i&gt;0 )</div>
<div class="line"><a name="l00311"></a><span class="lineno">  311</span>&#160;      {</div>
<div class="line"><a name="l00312"></a><span class="lineno">  312</span>&#160;        Polynomial&lt; Degree &gt; _p = Polynomial&lt; Degree-1 &gt;::BSplineComponent( i-1 ).integral();</div>
<div class="line"><a name="l00313"></a><span class="lineno">  313</span>&#160;        p -= _p;</div>
<div class="line"><a name="l00314"></a><span class="lineno">  314</span>&#160;        p.coefficients[0] += _p(1);</div>
<div class="line"><a name="l00315"></a><span class="lineno">  315</span>&#160;      }</div>
<div class="line"><a name="l00316"></a><span class="lineno">  316</span>&#160;      <span class="keywordflow">if</span>( i&lt;Degree )</div>
<div class="line"><a name="l00317"></a><span class="lineno">  317</span>&#160;      {</div>
<div class="line"><a name="l00318"></a><span class="lineno">  318</span>&#160;        Polynomial&lt; Degree &gt; _p = Polynomial&lt; Degree-1 &gt;::BSplineComponent( i ).integral();</div>
<div class="line"><a name="l00319"></a><span class="lineno">  319</span>&#160;        p += _p;</div>
<div class="line"><a name="l00320"></a><span class="lineno">  320</span>&#160;      }</div>
<div class="line"><a name="l00321"></a><span class="lineno">  321</span>&#160;      <span class="keywordflow">return</span> p;</div>
<div class="line"><a name="l00322"></a><span class="lineno">  322</span>&#160;    }</div>
<div class="line"><a name="l00323"></a><span class="lineno">  323</span>&#160; </div>
<div class="line"><a name="l00324"></a><span class="lineno">  324</span>&#160;  }</div>
<div class="line"><a name="l00325"></a><span class="lineno">  325</span>&#160;}</div>
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